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Published byKathryn Carr Modified over 9 years ago
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Objective:Objective: Students will determine congruence and similarity (9-6).
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Vocabulary Similar figures – figures that have the same shape but different sizes. represented by the symbol ~ Congruent figures – figures that are the same size and shape. Represented by the symbol ~
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Examples Tell whether each quadrilateral is congruent or similar to the quadrilateral shown. A.
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Examples Tell whether each quadrilateral is congruent or similar to the quadrilateral shown. A. The quadrilaterals are the same size and shape. They are congruent.
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Examples Tell whether each quadrilateral is congruent or similar to the quadrilateral shown. B.
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Examples Tell whether each quadrilateral is congruent or similar to the quadrilateral shown. B. The quadrilaterals have the same shape and angles, but not the same size. They are similar.
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Examples Tell whether each quadrilateral is congruent or similar to the quadrilateral shown. C.
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Examples Tell whether each quadrilateral is congruent or similar to the quadrilateral shown. C. The quadrilaterals are not the same shape and size. They are neither similar nor congruent.
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Examples MNP is congruent to RST. A. What side of RST corresponds to side MN? B. What is the perimeter of RST? N P M 47cm 25cm 48cm S R T
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Examples MNP is congruent to RST. A. What side of RST corresponds to side MN? Side RS B. What is the perimeter of RST? P( MNP) = 25 + 48 + 47 P( MNP) = 120 Since MNP and RST are congruent, they have the same perimeter. N P M 47cm 25cm 48cm S R T
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Guided Practice Tell whether each pair of polygons are similar, congruent, or neither.
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Guided Practice Tell whether each pair of polygons are similar, congruent, or neither. neithercongruent
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Guided Practice Quadrilateral ABCD is congruent to quadrilateral EFGH. A. What is the measure of the side AD? B. What side corresponds to side BC? AB DC E F G H 2m 4m
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Guided Practice Quadrilateral ABCD is congruent to quadrilateral EFGH. A. What is the measure of the side AD? 4m B. What side corresponds to side BC? FG AB DC E F G H 2m 4m
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